Sur l'unicité dans L3ℝ3 des solutions « mild » des équations de Navier-Stokes

DOI10.1016/S0764-4442(97)82348-8zbMath0894.35083MaRDI QIDQ4385768

Elide Terraneo, Giulia Furioli, Pierre Gilles Lemarié Rieusset

Publication date: 25 May 1998

Published in: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics (Search for Journal in Brave)

zbMATH Keywords

Navier-Stokes equationsuniquenessmild solutions

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Generalized solutions to partial differential equations (35D99)

Related Items (13)

Uniqueness of Solutions on the Whole Time Axis to the Navier-Stokes Equations in Unbounded Domains ⋮ On a bilinear estimate in weak-Morrey spaces and uniqueness for Navier-Stokes equations ⋮ On the uniqueness of mild solutions to the time-fractional Navier-Stokes equations in \(L^N(\mathbb{R}^N)^N\) ⋮ The role of the Besov space \({\mathbf B}_{\infty}^{-1,\infty}\) in the control of the eventual explosion in finite time of the regular solutions of the Navier-Stokes equations ⋮ Finite time blow up for a Navier-Stokes like equation ⋮ The limiting uniqueness criterion by vorticity for Navier-Stokes equations in Besov spaces ⋮ Regularity Criteria for the Generalized MHD Equations ⋮ Real Variable Methods in Harmonic Analysis and Navier–Stokes Equations ⋮ On the role of the Besov spaces for the solutions of the generalized Burgers equation in homogeneous Sobolev spaces ⋮ A remark on the uniqueness of Kozono-Nakao's mild \(L^3\)-solutions on the whole time axis to the Navier-Stokes equations in unbounded domains ⋮ Computation of decaying turbulence in an adaptive wavelet basis ⋮ Finite time blow-up of complex solutions of the conserved Kuramoto–Sivashinsky equation in ℝ^d and in the torus 𝕋^d, d ⩾ 1 ⋮ On uniqueness for the Navier--Stokes system in 3D-bounded Lipschitz domains.

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